83216160 has 120 divisors (see below), whose sum is σ = 293729436. Its totient is φ = 22187520.

The previous prime is 83216113. The next prime is 83216209. The reversal of 83216160 is 6161238.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 2862864 = 8964^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9750 + ... + 16170.

Almost surely, 2^83216160 is an apocalyptic number.

83216160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146864718).

83216160 is an abundant number, since it is smaller than the sum of its proper divisors (210513276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83216160 is a wasteful number, since it uses less digits than its factorization.

83216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83216160 is about 9122.2891863830. The cubic root of 83216160 is about 436.5854156719.

Adding to 83216160 its reverse (6161238), we get a palindrome (89377398).

The spelling of 83216160 in words is "eighty-three million, two hundred sixteen thousand, one hundred sixty".